# ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern): Questions 86 - 91 of 253

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## Question 86

### Question

MCQ▾A statistic is called as Minimum Variance Unbiased Estimator (MVUE) if

### Choices

Choice (4) | Response | |
---|---|---|

a. | If it has the maximum variance among the class of all unbiased estimators | |

b. | It is Unbiased | |

c. | If it has the minimum variance among the class of all unbiased estimators | |

d. | Both b. and c. are correct |

## Question 87

### Question

MCQ▾Minimum Variance Unbiased Estimator (MVUE) is________

### Choices

Choice (4) | Response | |
---|---|---|

a. | Not unique | |

b. | Unique | |

c. | All of the above | |

d. | None of the above |

## Question 88

### Question

MCQ▾In a random sampling from Normal population suppose the MLE of mean is is given then MLE of is

### Choices

Choice (4) | Response | |
---|---|---|

a. | ||

b. | ||

c. | ||

d. |

## Question 89

### Question

MCQ▾A statistic is MVUE of if … where is any other unbiased estimator of

### Choices

Choice (4) | Response | |
---|---|---|

a. | ||

b. | ||

c. | ||

d. |

## Question 90

### Question

MCQ▾Under certain regularity conditions, a maximum likelihood estimator is ________ distributed.

### Choices

Choice (4) | Response | |
---|---|---|

a. | Uniformly | |

b. | Asymptotically Normally | |

c. | Asymptotically Poisson | |

d. | None of the above |

## Question 91

### Question

MCQ▾Which of the following are the methods of Estimation?

### Choices

Choice (4) | Response | |
---|---|---|

a. | Method of Minimum Variance | |

b. | Method of Maximum Likelihood Estimation | |

c. | Method of Minimum Chi-square | |

d. | All a., b. and c. are correct |